1922561713800 has 2304 divisors, whose sum is σ = 8759706009600. Its totient is φ = 380936908800.

The previous prime is 1922561713739. The next prime is 1922561713829. The reversal of 1922561713800 is 83171652291.

1922561713800 is a `hidden beast` number, since 1 + 9 + 2 + 2 + 561 + 7 + 1 + 3 + 80 + 0 = 666.

It is a super-2 number, since 2×1922561713800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5072722011 + ... + 5072722389.

Almost surely, 2^{1922561713800} is an apocalyptic number.

1922561713800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1922561713800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379853004800).

1922561713800 is an abundant number, since it is smaller than the sum of its proper divisors (6837144295800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1922561713800 is a wasteful number, since it uses less digits than its factorization.

1922561713800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 1922561713800 in words is "one trillion, nine hundred twenty-two billion, five hundred sixty-one million, seven hundred thirteen thousand, eight hundred".